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Finding the Fourth Proportional to 8,659.74, 12,982.32 and 3,462.78

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Solution

The fourth proportional to 8,659.74, 12,982.32 and 3,462.78 is: 5,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.74 : 12,982.32 = 3,462.78 : x
  2. Step 2: Convert to fraction form
    8,659.74/12,982.32 = 3,462.78/x
  3. Step 3: Cross multiply
    8,659.74x = 12,982.32 × 3,462.78
  4. Step 4: Simplify right side
    8,659.74x = 44,954,918.05
  5. Step 5: Solve for x
    x = 44,954,918.05/8,659.74
  6. Step 6: Final answer
    x = 5,191.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.